{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "from gs_quant.session import GsSession\n",
    "# external users should substitute their client id and secret; please skip this step if using internal jupyterhub\n",
    "GsSession.use(client_id=None, client_secret=None, scopes=('run_analytics',))  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Volatility Skew & Smile Screen\n",
    "\n",
    "This screen looks at historical implied volatility for 3m 25 delta options. The screen shows either the volatility smile or skew. The delta strike, option tenor and history can be adjusted. Relative refers to the vol adjusted results.\n",
    "\n",
    "Volatility skew or risk reversal refers to 25d call vol - 25d put vol. Volatility smile or butterflys refer to (25d call vol + 25d put vol) / 2 - ATM vol."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "from gs_quant.data import Dataset\n",
    "import pandas as pd\n",
    "pd.set_option('display.precision', 2)\n",
    "\n",
    "def volatility_skew(bbids, start_date, end_date, tenor='3m', history='2y', strike_level='25D', smile=False, relative=False, plot=True):\n",
    "    \"\"\"\n",
    "    Screens for Volatility Skew \n",
    "    defaults to risk reversal (25d call vol - 25d put vol)\n",
    "    \n",
    "    : param crosses: array of string FX pairs e.g. ['USDJPY', 'USDNOK']\n",
    "    : param start_date: start date for volatility history\n",
    "    : param end_date: end date for volatility history\n",
    "    : param tenor: volatility tenor\n",
    "    : param history: label for historical calculations  \n",
    "    : param strike_level: defaults to 25D\n",
    "    : param smile: if true, calculates butterfly else displays risk reversal\n",
    "    : param relative: if true, skew is divided by ATM Vol\n",
    "    \"\"\"\n",
    "    \n",
    "    impvol_data = {}\n",
    "    data = {}\n",
    "    strikes = [f'{strike_level}C', f'{strike_level}P', 'DN']\n",
    "    for cross in bbids:\n",
    "        for strike in strikes:\n",
    "            #replace with premium dataset for more history\n",
    "            impvol_data[f'{cross}_{strike}'] = Dataset('FXIMPLIEDVOL').get_data(start_date, end_date, bbid=cross, tenor=tenor, deltaStrike=strike, location='NYC')['impliedVolatility']*100\n",
    "        if smile:\n",
    "            data[cross] = (impvol_data[f'{cross}_{strike_level}C'] + impvol_data[f'{cross}_{strike_level}P'])/2 - impvol_data[f'{cross}_DN']\n",
    "        #risk reversal\n",
    "        else:\n",
    "            data[cross] = (impvol_data[f'{cross}_{strike_level}C'] - impvol_data[f'{cross}_{strike_level}P'])\n",
    "        if relative:\n",
    "            data[cross] = data[cross] /  impvol_data[f'{cross}_DN']\n",
    "    df = pd.DataFrame(data)\n",
    "    return get_screen(df, plot=plot, smile=smile, history=history)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "from gs_quant.timeseries import last_value, change, percentiles\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "def get_screen(data, strike_label='25D', history='2y', plot=True, smile=False):\n",
    "    screen = {}\n",
    "    for cross in data.columns:\n",
    "        screen[cross] = {'Current': last_value(data[cross]),\n",
    "                         '1w Change': last_value(change(data[cross].tail(5))),\n",
    "                         f'{history} Min': min(data[cross]),\n",
    "                         f'{history} Max': max(data[cross]),\n",
    "                         '%-ile': last_value(percentiles(data[cross]))\n",
    "                        }\n",
    "    vol_screen = pd.DataFrame(screen).T\n",
    "    \n",
    "    if plot:\n",
    "        fig, axes = plt.subplots(nrows=1, ncols=2, figsize=(15, 5))\n",
    "        vol_screen = vol_screen.sort_values('%-ile')\n",
    "        label = 'Smile' if smile else 'Skew'\n",
    "        top = vol_screen.iloc[-1]\n",
    "        data[top.name].plot(ax=axes[0], title=f'Highest %-ile {label} ({top.name})')\n",
    "        bottom = vol_screen.iloc[0]\n",
    "        data[bottom.name].plot(ax=axes[1], title=f'Lowest %-ile {label} ({bottom.name})')\n",
    "    return vol_screen"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Risk Reversal\n",
    "\n",
    "Risk reversals refer to 25d call vol - 25d put vol. Relative risk reversals are computed as risk reversals divided by ATM vol."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3m 25D Risk Reversal\n"
     ]
    },
    {
     "data": {
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       "        }</style><table id=\"T_d45a3c64_514b_11eb_be21_0050561261ed\" ><thead>    <tr>        <th class=\"blank level0\" ></th>        <th class=\"col_heading level0 col0\" >Current</th>        <th class=\"col_heading level0 col1\" >1w Change</th>        <th class=\"col_heading level0 col2\" >2y Min</th>        <th class=\"col_heading level0 col3\" >2y Max</th>        <th class=\"col_heading level0 col4\" >%-ile</th>    </tr></thead><tbody>\n",
       "                <tr>\n",
       "                        <th id=\"T_d45a3c64_514b_11eb_be21_0050561261edlevel0_row0\" class=\"row_heading level0 row0\" >USDJPY</th>\n",
       "                        <td id=\"T_d45a3c64_514b_11eb_be21_0050561261edrow0_col0\" class=\"data row0 col0\" >-0.99</td>\n",
       "                        <td id=\"T_d45a3c64_514b_11eb_be21_0050561261edrow0_col1\" class=\"data row0 col1\" >0.06</td>\n",
       "                        <td id=\"T_d45a3c64_514b_11eb_be21_0050561261edrow0_col2\" class=\"data row0 col2\" >-9.03</td>\n",
       "                        <td id=\"T_d45a3c64_514b_11eb_be21_0050561261edrow0_col3\" class=\"data row0 col3\" >-0.78</td>\n",
       "                        <td id=\"T_d45a3c64_514b_11eb_be21_0050561261edrow0_col4\" class=\"data row0 col4\" >99.21</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_d45a3c64_514b_11eb_be21_0050561261edlevel0_row1\" class=\"row_heading level0 row1\" >GBPUSD</th>\n",
       "                        <td id=\"T_d45a3c64_514b_11eb_be21_0050561261edrow1_col0\" class=\"data row1 col0\" >-0.64</td>\n",
       "                        <td id=\"T_d45a3c64_514b_11eb_be21_0050561261edrow1_col1\" class=\"data row1 col1\" >0.29</td>\n",
       "                        <td id=\"T_d45a3c64_514b_11eb_be21_0050561261edrow1_col2\" class=\"data row1 col2\" >-4.21</td>\n",
       "                        <td id=\"T_d45a3c64_514b_11eb_be21_0050561261edrow1_col3\" class=\"data row1 col3\" >0.21</td>\n",
       "                        <td id=\"T_d45a3c64_514b_11eb_be21_0050561261edrow1_col4\" class=\"data row1 col4\" >87.72</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_d45a3c64_514b_11eb_be21_0050561261edlevel0_row2\" class=\"row_heading level0 row2\" >USDSEK</th>\n",
       "                        <td id=\"T_d45a3c64_514b_11eb_be21_0050561261edrow2_col0\" class=\"data row2 col0\" >1.13</td>\n",
       "                        <td id=\"T_d45a3c64_514b_11eb_be21_0050561261edrow2_col1\" class=\"data row2 col1\" >-0.05</td>\n",
       "                        <td id=\"T_d45a3c64_514b_11eb_be21_0050561261edrow2_col2\" class=\"data row2 col2\" >-0.73</td>\n",
       "                        <td id=\"T_d45a3c64_514b_11eb_be21_0050561261edrow2_col3\" class=\"data row2 col3\" >3.83</td>\n",
       "                        <td id=\"T_d45a3c64_514b_11eb_be21_0050561261edrow2_col4\" class=\"data row2 col4\" >79.21</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_d45a3c64_514b_11eb_be21_0050561261edlevel0_row3\" class=\"row_heading level0 row3\" >EURUSD</th>\n",
       "                        <td id=\"T_d45a3c64_514b_11eb_be21_0050561261edrow3_col0\" class=\"data row3 col0\" >0.35</td>\n",
       "                        <td id=\"T_d45a3c64_514b_11eb_be21_0050561261edrow3_col1\" class=\"data row3 col1\" >0.03</td>\n",
       "                        <td id=\"T_d45a3c64_514b_11eb_be21_0050561261edrow3_col2\" class=\"data row3 col2\" >-3.37</td>\n",
       "                        <td id=\"T_d45a3c64_514b_11eb_be21_0050561261edrow3_col3\" class=\"data row3 col3\" >2.49</td>\n",
       "                        <td id=\"T_d45a3c64_514b_11eb_be21_0050561261edrow3_col4\" class=\"data row3 col4\" >78.42</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_d45a3c64_514b_11eb_be21_0050561261edlevel0_row4\" class=\"row_heading level0 row4\" >USDCHF</th>\n",
       "                        <td id=\"T_d45a3c64_514b_11eb_be21_0050561261edrow4_col0\" class=\"data row4 col0\" >-0.60</td>\n",
       "                        <td id=\"T_d45a3c64_514b_11eb_be21_0050561261edrow4_col1\" class=\"data row4 col1\" >-0.09</td>\n",
       "                        <td id=\"T_d45a3c64_514b_11eb_be21_0050561261edrow4_col2\" class=\"data row4 col2\" >-3.26</td>\n",
       "                        <td id=\"T_d45a3c64_514b_11eb_be21_0050561261edrow4_col3\" class=\"data row4 col3\" >-0.23</td>\n",
       "                        <td id=\"T_d45a3c64_514b_11eb_be21_0050561261edrow4_col4\" class=\"data row4 col4\" >76.53</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_d45a3c64_514b_11eb_be21_0050561261edlevel0_row5\" class=\"row_heading level0 row5\" >USDNOK</th>\n",
       "                        <td id=\"T_d45a3c64_514b_11eb_be21_0050561261edrow5_col0\" class=\"data row5 col0\" >1.52</td>\n",
       "                        <td id=\"T_d45a3c64_514b_11eb_be21_0050561261edrow5_col1\" class=\"data row5 col1\" >0.13</td>\n",
       "                        <td id=\"T_d45a3c64_514b_11eb_be21_0050561261edrow5_col2\" class=\"data row5 col2\" >-0.29</td>\n",
       "                        <td id=\"T_d45a3c64_514b_11eb_be21_0050561261edrow5_col3\" class=\"data row5 col3\" >6.16</td>\n",
       "                        <td id=\"T_d45a3c64_514b_11eb_be21_0050561261edrow5_col4\" class=\"data row5 col4\" >72.18</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_d45a3c64_514b_11eb_be21_0050561261edlevel0_row6\" class=\"row_heading level0 row6\" >AUDUSD</th>\n",
       "                        <td id=\"T_d45a3c64_514b_11eb_be21_0050561261edrow6_col0\" class=\"data row6 col0\" >-1.11</td>\n",
       "                        <td id=\"T_d45a3c64_514b_11eb_be21_0050561261edrow6_col1\" class=\"data row6 col1\" >-0.03</td>\n",
       "                        <td id=\"T_d45a3c64_514b_11eb_be21_0050561261edrow6_col2\" class=\"data row6 col2\" >-8.08</td>\n",
       "                        <td id=\"T_d45a3c64_514b_11eb_be21_0050561261edrow6_col3\" class=\"data row6 col3\" >-0.44</td>\n",
       "                        <td id=\"T_d45a3c64_514b_11eb_be21_0050561261edrow6_col4\" class=\"data row6 col4\" >40.20</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_d45a3c64_514b_11eb_be21_0050561261edlevel0_row7\" class=\"row_heading level0 row7\" >NZDUSD</th>\n",
       "                        <td id=\"T_d45a3c64_514b_11eb_be21_0050561261edrow7_col0\" class=\"data row7 col0\" >-1.00</td>\n",
       "                        <td id=\"T_d45a3c64_514b_11eb_be21_0050561261edrow7_col1\" class=\"data row7 col1\" >-0.07</td>\n",
       "                        <td id=\"T_d45a3c64_514b_11eb_be21_0050561261edrow7_col2\" class=\"data row7 col2\" >-8.12</td>\n",
       "                        <td id=\"T_d45a3c64_514b_11eb_be21_0050561261edrow7_col3\" class=\"data row7 col3\" >-0.33</td>\n",
       "                        <td id=\"T_d45a3c64_514b_11eb_be21_0050561261edrow7_col4\" class=\"data row7 col4\" >37.52</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_d45a3c64_514b_11eb_be21_0050561261edlevel0_row8\" class=\"row_heading level0 row8\" >USDCAD</th>\n",
       "                        <td id=\"T_d45a3c64_514b_11eb_be21_0050561261edrow8_col0\" class=\"data row8 col0\" >0.25</td>\n",
       "                        <td id=\"T_d45a3c64_514b_11eb_be21_0050561261edrow8_col1\" class=\"data row8 col1\" >0.04</td>\n",
       "                        <td id=\"T_d45a3c64_514b_11eb_be21_0050561261edrow8_col2\" class=\"data row8 col2\" >0.14</td>\n",
       "                        <td id=\"T_d45a3c64_514b_11eb_be21_0050561261edrow8_col3\" class=\"data row8 col3\" >4.70</td>\n",
       "                        <td id=\"T_d45a3c64_514b_11eb_be21_0050561261edrow8_col4\" class=\"data row8 col4\" >12.97</td>\n",
       "            </tr>\n",
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     "text": [
      "3m 25D Risk Reversal (Relative)\n"
     ]
    },
    {
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       "            background-color:  #fff7fb;\n",
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       "        }</style><table id=\"T_d45cad86_514b_11eb_81ec_0050561261ed\" ><thead>    <tr>        <th class=\"blank level0\" ></th>        <th class=\"col_heading level0 col0\" >Current</th>        <th class=\"col_heading level0 col1\" >1w Change</th>        <th class=\"col_heading level0 col2\" >2y Min</th>        <th class=\"col_heading level0 col3\" >2y Max</th>        <th class=\"col_heading level0 col4\" >%-ile</th>    </tr></thead><tbody>\n",
       "                <tr>\n",
       "                        <th id=\"T_d45cad86_514b_11eb_81ec_0050561261edlevel0_row0\" class=\"row_heading level0 row0\" >USDJPY</th>\n",
       "                        <td id=\"T_d45cad86_514b_11eb_81ec_0050561261edrow0_col0\" class=\"data row0 col0\" >-0.16</td>\n",
       "                        <td id=\"T_d45cad86_514b_11eb_81ec_0050561261edrow0_col1\" class=\"data row0 col1\" >0.01</td>\n",
       "                        <td id=\"T_d45cad86_514b_11eb_81ec_0050561261edrow0_col2\" class=\"data row0 col2\" >-0.65</td>\n",
       "                        <td id=\"T_d45cad86_514b_11eb_81ec_0050561261edrow0_col3\" class=\"data row0 col3\" >-0.14</td>\n",
       "                        <td id=\"T_d45cad86_514b_11eb_81ec_0050561261edrow0_col4\" class=\"data row0 col4\" >99.31</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_d45cad86_514b_11eb_81ec_0050561261edlevel0_row1\" class=\"row_heading level0 row1\" >GBPUSD</th>\n",
       "                        <td id=\"T_d45cad86_514b_11eb_81ec_0050561261edrow1_col0\" class=\"data row1 col0\" >-0.08</td>\n",
       "                        <td id=\"T_d45cad86_514b_11eb_81ec_0050561261edrow1_col1\" class=\"data row1 col1\" >0.03</td>\n",
       "                        <td id=\"T_d45cad86_514b_11eb_81ec_0050561261edrow1_col2\" class=\"data row1 col2\" >-0.27</td>\n",
       "                        <td id=\"T_d45cad86_514b_11eb_81ec_0050561261edrow1_col3\" class=\"data row1 col3\" >0.02</td>\n",
       "                        <td id=\"T_d45cad86_514b_11eb_81ec_0050561261edrow1_col4\" class=\"data row1 col4\" >87.62</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_d45cad86_514b_11eb_81ec_0050561261edlevel0_row2\" class=\"row_heading level0 row2\" >USDCHF</th>\n",
       "                        <td id=\"T_d45cad86_514b_11eb_81ec_0050561261edrow2_col0\" class=\"data row2 col0\" >-0.09</td>\n",
       "                        <td id=\"T_d45cad86_514b_11eb_81ec_0050561261edrow2_col1\" class=\"data row2 col1\" >-0.02</td>\n",
       "                        <td id=\"T_d45cad86_514b_11eb_81ec_0050561261edrow2_col2\" class=\"data row2 col2\" >-0.32</td>\n",
       "                        <td id=\"T_d45cad86_514b_11eb_81ec_0050561261edrow2_col3\" class=\"data row2 col3\" >-0.05</td>\n",
       "                        <td id=\"T_d45cad86_514b_11eb_81ec_0050561261edrow2_col4\" class=\"data row2 col4\" >80.50</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_d45cad86_514b_11eb_81ec_0050561261edlevel0_row3\" class=\"row_heading level0 row3\" >USDSEK</th>\n",
       "                        <td id=\"T_d45cad86_514b_11eb_81ec_0050561261edrow3_col0\" class=\"data row3 col0\" >0.12</td>\n",
       "                        <td id=\"T_d45cad86_514b_11eb_81ec_0050561261edrow3_col1\" class=\"data row3 col1\" >0.00</td>\n",
       "                        <td id=\"T_d45cad86_514b_11eb_81ec_0050561261edrow3_col2\" class=\"data row3 col2\" >-0.06</td>\n",
       "                        <td id=\"T_d45cad86_514b_11eb_81ec_0050561261edrow3_col3\" class=\"data row3 col3\" >0.24</td>\n",
       "                        <td id=\"T_d45cad86_514b_11eb_81ec_0050561261edrow3_col4\" class=\"data row3 col4\" >77.92</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_d45cad86_514b_11eb_81ec_0050561261edlevel0_row4\" class=\"row_heading level0 row4\" >USDNOK</th>\n",
       "                        <td id=\"T_d45cad86_514b_11eb_81ec_0050561261edrow4_col0\" class=\"data row4 col0\" >0.12</td>\n",
       "                        <td id=\"T_d45cad86_514b_11eb_81ec_0050561261edrow4_col1\" class=\"data row4 col1\" >0.01</td>\n",
       "                        <td id=\"T_d45cad86_514b_11eb_81ec_0050561261edrow4_col2\" class=\"data row4 col2\" >-0.03</td>\n",
       "                        <td id=\"T_d45cad86_514b_11eb_81ec_0050561261edrow4_col3\" class=\"data row4 col3\" >0.29</td>\n",
       "                        <td id=\"T_d45cad86_514b_11eb_81ec_0050561261edrow4_col4\" class=\"data row4 col4\" >71.39</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_d45cad86_514b_11eb_81ec_0050561261edlevel0_row5\" class=\"row_heading level0 row5\" >EURUSD</th>\n",
       "                        <td id=\"T_d45cad86_514b_11eb_81ec_0050561261edrow5_col0\" class=\"data row5 col0\" >0.05</td>\n",
       "                        <td id=\"T_d45cad86_514b_11eb_81ec_0050561261edrow5_col1\" class=\"data row5 col1\" >0.01</td>\n",
       "                        <td id=\"T_d45cad86_514b_11eb_81ec_0050561261edrow5_col2\" class=\"data row5 col2\" >-0.27</td>\n",
       "                        <td id=\"T_d45cad86_514b_11eb_81ec_0050561261edrow5_col3\" class=\"data row5 col3\" >0.26</td>\n",
       "                        <td id=\"T_d45cad86_514b_11eb_81ec_0050561261edrow5_col4\" class=\"data row5 col4\" >70.79</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_d45cad86_514b_11eb_81ec_0050561261edlevel0_row6\" class=\"row_heading level0 row6\" >AUDUSD</th>\n",
       "                        <td id=\"T_d45cad86_514b_11eb_81ec_0050561261edrow6_col0\" class=\"data row6 col0\" >-0.11</td>\n",
       "                        <td id=\"T_d45cad86_514b_11eb_81ec_0050561261edrow6_col1\" class=\"data row6 col1\" >-0.01</td>\n",
       "                        <td id=\"T_d45cad86_514b_11eb_81ec_0050561261edrow6_col2\" class=\"data row6 col2\" >-0.47</td>\n",
       "                        <td id=\"T_d45cad86_514b_11eb_81ec_0050561261edrow6_col3\" class=\"data row6 col3\" >-0.07</td>\n",
       "                        <td id=\"T_d45cad86_514b_11eb_81ec_0050561261edrow6_col4\" class=\"data row6 col4\" >51.58</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_d45cad86_514b_11eb_81ec_0050561261edlevel0_row7\" class=\"row_heading level0 row7\" >NZDUSD</th>\n",
       "                        <td id=\"T_d45cad86_514b_11eb_81ec_0050561261edrow7_col0\" class=\"data row7 col0\" >-0.10</td>\n",
       "                        <td id=\"T_d45cad86_514b_11eb_81ec_0050561261edrow7_col1\" class=\"data row7 col1\" >-0.01</td>\n",
       "                        <td id=\"T_d45cad86_514b_11eb_81ec_0050561261edrow7_col2\" class=\"data row7 col2\" >-0.48</td>\n",
       "                        <td id=\"T_d45cad86_514b_11eb_81ec_0050561261edrow7_col3\" class=\"data row7 col3\" >-0.04</td>\n",
       "                        <td id=\"T_d45cad86_514b_11eb_81ec_0050561261edrow7_col4\" class=\"data row7 col4\" >44.26</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_d45cad86_514b_11eb_81ec_0050561261edlevel0_row8\" class=\"row_heading level0 row8\" >USDCAD</th>\n",
       "                        <td id=\"T_d45cad86_514b_11eb_81ec_0050561261edrow8_col0\" class=\"data row8 col0\" >0.04</td>\n",
       "                        <td id=\"T_d45cad86_514b_11eb_81ec_0050561261edrow8_col1\" class=\"data row8 col1\" >0.01</td>\n",
       "                        <td id=\"T_d45cad86_514b_11eb_81ec_0050561261edrow8_col2\" class=\"data row8 col2\" >0.02</td>\n",
       "                        <td id=\"T_d45cad86_514b_11eb_81ec_0050561261edrow8_col3\" class=\"data row8 col3\" >0.39</td>\n",
       "                        <td id=\"T_d45cad86_514b_11eb_81ec_0050561261edrow8_col4\" class=\"data row8 col4\" >3.66</td>\n",
       "            </tr>\n",
       "    </tbody></table>"
      ],
      "text/plain": [
       "<pandas.io.formats.style.Styler at 0x1ac0bd08>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from datetime import date\n",
    "from gs_quant.datetime import business_day_offset\n",
    "from dateutil.relativedelta import relativedelta\n",
    "end = business_day_offset(date.today(), -1, roll='forward')\n",
    "start = business_day_offset(end - relativedelta(years=2), -1, roll='forward')\n",
    "\n",
    "\n",
    "g10 = ['USDJPY', 'EURUSD', 'AUDUSD', 'GBPUSD', 'USDCAD', 'USDNOK', 'NZDUSD', 'USDSEK', 'USDCHF']\n",
    "tenor='3m'\n",
    "strike_level='25D'\n",
    "\n",
    "risk_reversal = volatility_skew(g10, start_date=start, end_date=end, tenor=tenor, strike_level=strike_level)\n",
    "relative_rr = volatility_skew(g10, start_date=start, end_date=end, tenor=tenor, strike_level=strike_level, relative=True, plot=False)\n",
    "print(f'{tenor} {strike_level} Risk Reversal')\n",
    "display(risk_reversal.sort_values('%-ile', ascending=False).style.background_gradient(subset=['%-ile']))\n",
    "\n",
    "print(f'{tenor} {strike_level} Risk Reversal (Relative)')\n",
    "display(relative_rr.sort_values('%-ile', ascending=False).style.background_gradient(subset=['%-ile']))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Smile \n",
    "\n",
    "Butterflys refer to (25d call vol + 25d put vol) / 2 - ATM vol. Relative BF are computed as BF divided by ATM vol."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3m 25D Smile\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<style  type=\"text/css\" >\n",
       "    #T_0f807dba_514b_11eb_aaad_0050561261edrow0_col0 {\n",
       "            background-color:  #023858;\n",
       "            color:  #f1f1f1;\n",
       "        }    #T_0f807dba_514b_11eb_aaad_0050561261edrow1_col0 {\n",
       "            background-color:  #4c99c5;\n",
       "            color:  #000000;\n",
       "        }    #T_0f807dba_514b_11eb_aaad_0050561261edrow2_col0 {\n",
       "            background-color:  #589ec8;\n",
       "            color:  #000000;\n",
       "        }    #T_0f807dba_514b_11eb_aaad_0050561261edrow3_col0 {\n",
       "            background-color:  #589ec8;\n",
       "            color:  #000000;\n",
       "        }    #T_0f807dba_514b_11eb_aaad_0050561261edrow4_col0 {\n",
       "            background-color:  #ced0e6;\n",
       "            color:  #000000;\n",
       "        }    #T_0f807dba_514b_11eb_aaad_0050561261edrow5_col0 {\n",
       "            background-color:  #dfddec;\n",
       "            color:  #000000;\n",
       "        }    #T_0f807dba_514b_11eb_aaad_0050561261edrow6_col0 {\n",
       "            background-color:  #f5eef6;\n",
       "            color:  #000000;\n",
       "        }    #T_0f807dba_514b_11eb_aaad_0050561261edrow7_col0 {\n",
       "            background-color:  #f8f1f8;\n",
       "            color:  #000000;\n",
       "        }    #T_0f807dba_514b_11eb_aaad_0050561261edrow8_col0 {\n",
       "            background-color:  #fff7fb;\n",
       "            color:  #000000;\n",
       "        }</style><table id=\"T_0f807dba_514b_11eb_aaad_0050561261ed\" ><thead>    <tr>        <th class=\"blank level0\" ></th>        <th class=\"col_heading level0 col0\" >Current</th>        <th class=\"col_heading level0 col1\" >1w Change</th>        <th class=\"col_heading level0 col2\" >2y Min</th>        <th class=\"col_heading level0 col3\" >2y Max</th>        <th class=\"col_heading level0 col4\" >%-ile</th>    </tr></thead><tbody>\n",
       "                <tr>\n",
       "                        <th id=\"T_0f807dba_514b_11eb_aaad_0050561261edlevel0_row0\" class=\"row_heading level0 row0\" >USDNOK</th>\n",
       "                        <td id=\"T_0f807dba_514b_11eb_aaad_0050561261edrow0_col0\" class=\"data row0 col0\" >0.44</td>\n",
       "                        <td id=\"T_0f807dba_514b_11eb_aaad_0050561261edrow0_col1\" class=\"data row0 col1\" >-0.03</td>\n",
       "                        <td id=\"T_0f807dba_514b_11eb_aaad_0050561261edrow0_col2\" class=\"data row0 col2\" >0.14</td>\n",
       "                        <td id=\"T_0f807dba_514b_11eb_aaad_0050561261edrow0_col3\" class=\"data row0 col3\" >1.50</td>\n",
       "                        <td id=\"T_0f807dba_514b_11eb_aaad_0050561261edrow0_col4\" class=\"data row0 col4\" >63.27</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_0f807dba_514b_11eb_aaad_0050561261edlevel0_row1\" class=\"row_heading level0 row1\" >NZDUSD</th>\n",
       "                        <td id=\"T_0f807dba_514b_11eb_aaad_0050561261edrow1_col0\" class=\"data row1 col0\" >0.35</td>\n",
       "                        <td id=\"T_0f807dba_514b_11eb_aaad_0050561261edrow1_col1\" class=\"data row1 col1\" >0.01</td>\n",
       "                        <td id=\"T_0f807dba_514b_11eb_aaad_0050561261edrow1_col2\" class=\"data row1 col2\" >0.19</td>\n",
       "                        <td id=\"T_0f807dba_514b_11eb_aaad_0050561261edrow1_col3\" class=\"data row1 col3\" >1.57</td>\n",
       "                        <td id=\"T_0f807dba_514b_11eb_aaad_0050561261edrow1_col4\" class=\"data row1 col4\" >65.94</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_0f807dba_514b_11eb_aaad_0050561261edlevel0_row2\" class=\"row_heading level0 row2\" >AUDUSD</th>\n",
       "                        <td id=\"T_0f807dba_514b_11eb_aaad_0050561261edrow2_col0\" class=\"data row2 col0\" >0.34</td>\n",
       "                        <td id=\"T_0f807dba_514b_11eb_aaad_0050561261edrow2_col1\" class=\"data row2 col1\" >0.00</td>\n",
       "                        <td id=\"T_0f807dba_514b_11eb_aaad_0050561261edrow2_col2\" class=\"data row2 col2\" >0.19</td>\n",
       "                        <td id=\"T_0f807dba_514b_11eb_aaad_0050561261edrow2_col3\" class=\"data row2 col3\" >1.57</td>\n",
       "                        <td id=\"T_0f807dba_514b_11eb_aaad_0050561261edrow2_col4\" class=\"data row2 col4\" >65.15</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_0f807dba_514b_11eb_aaad_0050561261edlevel0_row3\" class=\"row_heading level0 row3\" >USDSEK</th>\n",
       "                        <td id=\"T_0f807dba_514b_11eb_aaad_0050561261edrow3_col0\" class=\"data row3 col0\" >0.34</td>\n",
       "                        <td id=\"T_0f807dba_514b_11eb_aaad_0050561261edrow3_col1\" class=\"data row3 col1\" >-0.01</td>\n",
       "                        <td id=\"T_0f807dba_514b_11eb_aaad_0050561261edrow3_col2\" class=\"data row3 col2\" >0.13</td>\n",
       "                        <td id=\"T_0f807dba_514b_11eb_aaad_0050561261edrow3_col3\" class=\"data row3 col3\" >1.11</td>\n",
       "                        <td id=\"T_0f807dba_514b_11eb_aaad_0050561261edrow3_col4\" class=\"data row3 col4\" >80.69</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_0f807dba_514b_11eb_aaad_0050561261edlevel0_row4\" class=\"row_heading level0 row4\" >GBPUSD</th>\n",
       "                        <td id=\"T_0f807dba_514b_11eb_aaad_0050561261edrow4_col0\" class=\"data row4 col0\" >0.28</td>\n",
       "                        <td id=\"T_0f807dba_514b_11eb_aaad_0050561261edrow4_col1\" class=\"data row4 col1\" >-0.01</td>\n",
       "                        <td id=\"T_0f807dba_514b_11eb_aaad_0050561261edrow4_col2\" class=\"data row4 col2\" >0.16</td>\n",
       "                        <td id=\"T_0f807dba_514b_11eb_aaad_0050561261edrow4_col3\" class=\"data row4 col3\" >1.36</td>\n",
       "                        <td id=\"T_0f807dba_514b_11eb_aaad_0050561261edrow4_col4\" class=\"data row4 col4\" >23.17</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_0f807dba_514b_11eb_aaad_0050561261edlevel0_row5\" class=\"row_heading level0 row5\" >USDJPY</th>\n",
       "                        <td id=\"T_0f807dba_514b_11eb_aaad_0050561261edrow5_col0\" class=\"data row5 col0\" >0.27</td>\n",
       "                        <td id=\"T_0f807dba_514b_11eb_aaad_0050561261edrow5_col1\" class=\"data row5 col1\" >0.00</td>\n",
       "                        <td id=\"T_0f807dba_514b_11eb_aaad_0050561261edrow5_col2\" class=\"data row5 col2\" >0.21</td>\n",
       "                        <td id=\"T_0f807dba_514b_11eb_aaad_0050561261edrow5_col3\" class=\"data row5 col3\" >1.33</td>\n",
       "                        <td id=\"T_0f807dba_514b_11eb_aaad_0050561261edrow5_col4\" class=\"data row5 col4\" >38.61</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_0f807dba_514b_11eb_aaad_0050561261edlevel0_row6\" class=\"row_heading level0 row6\" >USDCHF</th>\n",
       "                        <td id=\"T_0f807dba_514b_11eb_aaad_0050561261edrow6_col0\" class=\"data row6 col0\" >0.24</td>\n",
       "                        <td id=\"T_0f807dba_514b_11eb_aaad_0050561261edrow6_col1\" class=\"data row6 col1\" >0.00</td>\n",
       "                        <td id=\"T_0f807dba_514b_11eb_aaad_0050561261edrow6_col2\" class=\"data row6 col2\" >0.15</td>\n",
       "                        <td id=\"T_0f807dba_514b_11eb_aaad_0050561261edrow6_col3\" class=\"data row6 col3\" >1.25</td>\n",
       "                        <td id=\"T_0f807dba_514b_11eb_aaad_0050561261edrow6_col4\" class=\"data row6 col4\" >68.22</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_0f807dba_514b_11eb_aaad_0050561261edlevel0_row7\" class=\"row_heading level0 row7\" >USDCAD</th>\n",
       "                        <td id=\"T_0f807dba_514b_11eb_aaad_0050561261edrow7_col0\" class=\"data row7 col0\" >0.23</td>\n",
       "                        <td id=\"T_0f807dba_514b_11eb_aaad_0050561261edrow7_col1\" class=\"data row7 col1\" >-0.01</td>\n",
       "                        <td id=\"T_0f807dba_514b_11eb_aaad_0050561261edrow7_col2\" class=\"data row7 col2\" >0.11</td>\n",
       "                        <td id=\"T_0f807dba_514b_11eb_aaad_0050561261edrow7_col3\" class=\"data row7 col3\" >1.14</td>\n",
       "                        <td id=\"T_0f807dba_514b_11eb_aaad_0050561261edrow7_col4\" class=\"data row7 col4\" >58.91</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_0f807dba_514b_11eb_aaad_0050561261edlevel0_row8\" class=\"row_heading level0 row8\" >EURUSD</th>\n",
       "                        <td id=\"T_0f807dba_514b_11eb_aaad_0050561261edrow8_col0\" class=\"data row8 col0\" >0.22</td>\n",
       "                        <td id=\"T_0f807dba_514b_11eb_aaad_0050561261edrow8_col1\" class=\"data row8 col1\" >-0.03</td>\n",
       "                        <td id=\"T_0f807dba_514b_11eb_aaad_0050561261edrow8_col2\" class=\"data row8 col2\" >0.12</td>\n",
       "                        <td id=\"T_0f807dba_514b_11eb_aaad_0050561261edrow8_col3\" class=\"data row8 col3\" >1.42</td>\n",
       "                        <td id=\"T_0f807dba_514b_11eb_aaad_0050561261edrow8_col4\" class=\"data row8 col4\" >62.08</td>\n",
       "            </tr>\n",
       "    </tbody></table>"
      ],
      "text/plain": [
       "<pandas.io.formats.style.Styler at 0x1a78e7c8>"
      ]
     },
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    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3m 25D Smile (Relative)\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<style  type=\"text/css\" >\n",
       "    #T_0f82c7ca_514b_11eb_bd4e_0050561261edrow0_col0 {\n",
       "            background-color:  #023858;\n",
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       "        }    #T_0f82c7ca_514b_11eb_bd4e_0050561261edrow1_col0 {\n",
       "            background-color:  #a9bfdc;\n",
       "            color:  #000000;\n",
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       "            background-color:  #ced0e6;\n",
       "            color:  #000000;\n",
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       "            background-color:  #d8d7e9;\n",
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       "            background-color:  #e9e5f1;\n",
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       "            background-color:  #fbf4f9;\n",
       "            color:  #000000;\n",
       "        }    #T_0f82c7ca_514b_11eb_bd4e_0050561261edrow7_col0 {\n",
       "            background-color:  #fbf4f9;\n",
       "            color:  #000000;\n",
       "        }    #T_0f82c7ca_514b_11eb_bd4e_0050561261edrow8_col0 {\n",
       "            background-color:  #fff7fb;\n",
       "            color:  #000000;\n",
       "        }</style><table id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261ed\" ><thead>    <tr>        <th class=\"blank level0\" ></th>        <th class=\"col_heading level0 col0\" >Current</th>        <th class=\"col_heading level0 col1\" >1w Change</th>        <th class=\"col_heading level0 col2\" >2y Min</th>        <th class=\"col_heading level0 col3\" >2y Max</th>        <th class=\"col_heading level0 col4\" >%-ile</th>    </tr></thead><tbody>\n",
       "                <tr>\n",
       "                        <th id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edlevel0_row0\" class=\"row_heading level0 row0\" >USDJPY</th>\n",
       "                        <td id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edrow0_col0\" class=\"data row0 col0\" >0.04</td>\n",
       "                        <td id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edrow0_col1\" class=\"data row0 col1\" >0.00</td>\n",
       "                        <td id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edrow0_col2\" class=\"data row0 col2\" >0.03</td>\n",
       "                        <td id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edrow0_col3\" class=\"data row0 col3\" >0.11</td>\n",
       "                        <td id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edrow0_col4\" class=\"data row0 col4\" >41.88</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edlevel0_row1\" class=\"row_heading level0 row1\" >USDCHF</th>\n",
       "                        <td id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edrow1_col0\" class=\"data row1 col0\" >0.04</td>\n",
       "                        <td id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edrow1_col1\" class=\"data row1 col1\" >0.00</td>\n",
       "                        <td id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edrow1_col2\" class=\"data row1 col2\" >0.02</td>\n",
       "                        <td id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edrow1_col3\" class=\"data row1 col3\" >0.11</td>\n",
       "                        <td id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edrow1_col4\" class=\"data row1 col4\" >64.85</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edlevel0_row2\" class=\"row_heading level0 row2\" >NZDUSD</th>\n",
       "                        <td id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edrow2_col0\" class=\"data row2 col0\" >0.04</td>\n",
       "                        <td id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edrow2_col1\" class=\"data row2 col1\" >0.00</td>\n",
       "                        <td id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edrow2_col2\" class=\"data row2 col2\" >0.02</td>\n",
       "                        <td id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edrow2_col3\" class=\"data row2 col3\" >0.08</td>\n",
       "                        <td id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edrow2_col4\" class=\"data row2 col4\" >69.01</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edlevel0_row3\" class=\"row_heading level0 row3\" >AUDUSD</th>\n",
       "                        <td id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edrow3_col0\" class=\"data row3 col0\" >0.04</td>\n",
       "                        <td id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edrow3_col1\" class=\"data row3 col1\" >0.00</td>\n",
       "                        <td id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edrow3_col2\" class=\"data row3 col2\" >0.02</td>\n",
       "                        <td id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edrow3_col3\" class=\"data row3 col3\" >0.08</td>\n",
       "                        <td id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edrow3_col4\" class=\"data row3 col4\" >66.83</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edlevel0_row4\" class=\"row_heading level0 row4\" >USDNOK</th>\n",
       "                        <td id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edrow4_col0\" class=\"data row4 col0\" >0.04</td>\n",
       "                        <td id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edrow4_col1\" class=\"data row4 col1\" >-0.00</td>\n",
       "                        <td id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edrow4_col2\" class=\"data row4 col2\" >0.02</td>\n",
       "                        <td id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edrow4_col3\" class=\"data row4 col3\" >0.05</td>\n",
       "                        <td id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edrow4_col4\" class=\"data row4 col4\" >59.50</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edlevel0_row5\" class=\"row_heading level0 row5\" >USDSEK</th>\n",
       "                        <td id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edrow5_col0\" class=\"data row5 col0\" >0.04</td>\n",
       "                        <td id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edrow5_col1\" class=\"data row5 col1\" >0.00</td>\n",
       "                        <td id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edrow5_col2\" class=\"data row5 col2\" >0.02</td>\n",
       "                        <td id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edrow5_col3\" class=\"data row5 col3\" >0.07</td>\n",
       "                        <td id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edrow5_col4\" class=\"data row5 col4\" >80.30</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edlevel0_row6\" class=\"row_heading level0 row6\" >USDCAD</th>\n",
       "                        <td id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edrow6_col0\" class=\"data row6 col0\" >0.03</td>\n",
       "                        <td id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edrow6_col1\" class=\"data row6 col1\" >-0.00</td>\n",
       "                        <td id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edrow6_col2\" class=\"data row6 col2\" >0.02</td>\n",
       "                        <td id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edrow6_col3\" class=\"data row6 col3\" >0.10</td>\n",
       "                        <td id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edrow6_col4\" class=\"data row6 col4\" >58.32</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edlevel0_row7\" class=\"row_heading level0 row7\" >EURUSD</th>\n",
       "                        <td id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edrow7_col0\" class=\"data row7 col0\" >0.03</td>\n",
       "                        <td id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edrow7_col1\" class=\"data row7 col1\" >-0.00</td>\n",
       "                        <td id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edrow7_col2\" class=\"data row7 col2\" >0.02</td>\n",
       "                        <td id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edrow7_col3\" class=\"data row7 col3\" >0.12</td>\n",
       "                        <td id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edrow7_col4\" class=\"data row7 col4\" >50.79</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edlevel0_row8\" class=\"row_heading level0 row8\" >GBPUSD</th>\n",
       "                        <td id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edrow8_col0\" class=\"data row8 col0\" >0.03</td>\n",
       "                        <td id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edrow8_col1\" class=\"data row8 col1\" >0.00</td>\n",
       "                        <td id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edrow8_col2\" class=\"data row8 col2\" >0.02</td>\n",
       "                        <td id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edrow8_col3\" class=\"data row8 col3\" >0.08</td>\n",
       "                        <td id=\"T_0f82c7ca_514b_11eb_bd4e_0050561261edrow8_col4\" class=\"data row8 col4\" >39.90</td>\n",
       "            </tr>\n",
       "    </tbody></table>"
      ],
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       "<pandas.io.formats.style.Styler at 0x1e432fc8>"
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\n",
      "text/plain": [
       "<Figure size 1080x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "vol_smile = volatility_skew(g10, start_date=start, end_date=end, tenor=tenor,smile=True)\n",
    "relative_smile = volatility_skew(g10, start_date=start, end_date=end, tenor=tenor, strike_level=strike_level, smile=True, relative=True, plot=False)\n",
    "print(f'{tenor} {strike_level} Smile')\n",
    "display(vol_smile.sort_values('Current', ascending=False).style.background_gradient(subset=['Current']))\n",
    "\n",
    "print(f'{tenor} {strike_level} Smile (Relative)')\n",
    "display(relative_smile.sort_values('Current', ascending=False).style.background_gradient(subset=['Current']))"
   ]
  }
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